Create a Quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate for Year or Grade 9. Requi...
What to createQuiz
Which subjectMathematics
What age groupYear or Grade 9
What topicSurds and indices
Question typesMixed
Number of questions20
Number of answers4
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Year 9 Mathematics Quiz: Surds and Indices

Instructions:

Answer all questions to the best of your ability. For questions with multiple-choice answers, circle or highlight the letter corresponding to your choice.


Questions

  1. Simplify the expression √48.

  2. Which of the following is equivalent to ( 3^4 )? A. 9
    B. 27
    C. 81
    D. 12

  3. Simplify ( \frac{√45}{√5} ).

  4. When ( x = 2 ), what is the value of ( 2^{x+1} )?

  5. Which of the following is equal to ( 5^{-2} )? A. (\frac{1}{25})
    B. 25
    C. (\frac{1}{5})
    D. 5

  6. What is ( \sqrt{100} + \sqrt{36} )?

  7. Simplify the expression ( (2^3) \cdot (2^2) ).

  8. Which of the following expressions is equal to ( \frac{1}{√2} )? A. ( \frac{√2}{2} )
    B. ( √2 )
    C. ( 2 )
    D. ( \frac{2}{√2} )

  9. Simplify ( (x^2)^{3} ).

  10. What is the value of ( 4^{-\frac{3}{2}} )?

  11. Which of the following is equivalent to ( √(xy^2) )? A. ( √x \cdot y )
    B. ( y√x )
    C. ( xy )
    D. ( √x \cdot √y^2 )

  12. Simplify the expression ( 25^{\frac{1}{2}} ).

  13. If ( a = 3 ), what is the value of ( a^{-2} + 4 )?

  14. Which of the following is equivalent to ( (x^{3}y^{-2})^{2} )? A. ( x^{6}y^{-4} )
    B. ( x^{6}y^{4} )
    C. ( x^{4}y^{-3} )
    D. ( x^{-6}y^{2} )

  15. Simplify ( \sqrt{12} \cdot \sqrt{3} ).

  16. If ( b = 4 ), what is the value of ( (b^{2})^{-1} )?

  17. Which of the following is equal to ( 7^{0} )? A. 0
    B. 1
    C. 7
    D. 14

  18. Simplify ( (3√2)^{2} ).

  19. Which of the following is an equivalent expression for ( 2^{3} \cdot 2^{-5} )? A. ( 2^{-2} )
    B. ( 2^{2} )
    C. ( 2^{8} )
    D. ( 2^{0} )

  20. What is the simplified form of ( √(49x^4) )?


Good luck!

Be sure to double-check your answers before submission.